Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 901/655, 427/575, 388/281 quickly i.e. 149274076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 901/655, 427/575, 388/281 is 149274076.
LCM(901/655, 427/575, 388/281) = 149274076
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 901/655,427/575,388/281
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 901,427,388
Least Common Multiple of Numerators i.e. LCM of 901,427,388 is 149274076.
GCF of Denominators means GCF of 655,575,281 as per the given fractions.
GCF of 655,575,281 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 901,427,388
Given numbers has no common factors except 1. So, there LCM is their product i.e 149274076
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 901,427,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,427,388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,427,388) x common factors =1 x 1 = 1
LCM(901,427,388) = ( 901 × 427 × 388 ) / 1
LCM(901,427,388) = 149274076 / 1
LCM(901,427,388) = 149274076
Lets's calculate GCF of 655,575,281
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149274076/1
Therefore the LCM of Fractions 901/655,427/575,388/281 is 149274076
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
Greatest Common Factor
We found the factors 655,575,281 . The biggest common factor number is the GCF number.
So the greatest common factor 655,575,281 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 901/655, 427/575, 388/281?
Answer: LCM of Numerators as per given numbers 901/655, 427/575, 388/281 is
LCM of Numerators i.e. for 901,427,388 is 149274076
GCF of denominators i.e. for 655,575,281 is 1.
Thus, LCM of Fractions is 149274076.Finally, LCM of Fractions for 901/655, 427/575, 388/281 is 149274076.